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Finding the Fourth Proportional to 825.81, 1,238.68 and 338.74

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Solution

The fourth proportional to 825.81, 1,238.68 and 338.74 is: 508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.81 : 1,238.68 = 338.74 : x
  2. Step 2: Convert to fraction form
    825.81/1,238.68 = 338.74/x
  3. Step 3: Cross multiply
    825.81x = 1,238.68 × 338.74
  4. Step 4: Simplify right side
    825.81x = 419,590.46
  5. Step 5: Solve for x
    x = 419,590.46/825.81
  6. Step 6: Final answer
    x = 508.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.